An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter.
Subsequent chapters explore the basic results of linear functional analysis: Stone-Weierstrass, Hahn-Banach, uniform boundedness and open mapping theorems, dual spaces, and basic properties of operators. Additional topics include function spaces, the Tychonov and Alaoglu theorems, Hilbert spaces, elementary Fourier analysis, and compact self-adjoint operators applied to Sturm-Liouville theory. "The author has a delightfully lively style which makes the book very readable," noted the Edinburgh Mathematical Society, "and there are numerous interesting and instructive problems."
"synopsis" may belong to another edition of this title.
Book Description Hutchinson, London, 1973. Soft Cover. Book Condition: Very Good+. No Jacket. First Edition. 320pp. 8.5 inches. No dw. Stiff glossy card covers. Looks unused book, slight shelfwear only. Internally as new. Intended for final-year honours undergraduate or postgraduate levels. Assuming some knowledge of topology and Lebesgue integration. Basic techniques of linear functional analysis, and also function spaces, Tychonov and Alaoglu theoerems, Hilbert spaces, Fourier analysis, Sturm-Liouville theory, etc. (Mathematics, Functional Analysis, Operators, Hilbert, Fourier, Lebesgue) Size: 8vo - over 7¾" - 9¾" tall. Bookseller Inventory # C12741